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Finding the Fourth Proportional to 25,838.49, 35,655.87 and 14,506.59

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Solution

The fourth proportional to 25,838.49, 35,655.87 and 14,506.59 is: 20,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.49 : 35,655.87 = 14,506.59 : x
  2. Step 2: Convert to fraction form
    25,838.49/35,655.87 = 14,506.59/x
  3. Step 3: Cross multiply
    25,838.49x = 35,655.87 × 14,506.59
  4. Step 4: Simplify right side
    25,838.49x = 517,245,087.18
  5. Step 5: Solve for x
    x = 517,245,087.18/25,838.49
  6. Step 6: Final answer
    x = 20,018.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.